Hi guys, it's my first topic and I need to help. I have tried many many times to model this question as differential equation but I could not reach to success despite all my efforts. Can any body help me? I need to write the model of the system as differential equation but I did not understand exactly how to do. I tried many solutions but...

Frankly it is not clear to me what "having parameters k and b (stopping force for position and velocity)" means. Are those parameters for friction force? That is, is the friction, or retarding force given by -(kx+ bv) where "x" is the position of the car measured from the "tip point of the carrier" and v the velocity of the car? And what is the "tip point the carrier"?